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单词 Cauchy's Theorem
释义

Cauchy's Theorem

(group theory) If G is a finite group and p is a prime number which divides the order of G, then G contains an element of order p, and hence a subgroup of order p. This is a partial converse to Lagrange's Theorem. See also Sylow's theorems.

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更新时间:2025/5/20 1:10:50